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MATH SOLVE
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Suppose f, g, h, and j are functions such that: f(r) represents the circumference (in cm) of a circle whose radius is r cm. g(C) represents the radius (in cm) of a circle whose circumference is C cm . h(r) represents the area (in cm2) of a circle whose radius is r cm. j(A) represents the radius (in cm) of a circle whose area is A cm^2. a. Use function notation to represent the area of a circle whose circumference is 140 cm. b. Use function notation to represent the circumference of a circle whose area is 5.18 cm^2.
General
4 months ago
Suppose that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students, for a total of 1000 students. (a) What is the average class size? (b) Select a student randomly out of the 1000 students. Let the random variable X equal the size of the class to which this student belongs, and define the pmf of X. (c) Find E(X), the expected value of X. Does this answer surprise you?
General
4 months ago
The speed of sound in air on a certain stormy day is about 1130 feet per second. You see a flash of lightning striking some distance away, and seven seconds later you hear the clap of thunder. How many miles away did the lightning strike? Round your answer to the nearest mile. Note: The speed of light is so much faster than the speed of sound that you can assume that the strike occurs at the instant you see it.
General
4 months ago
Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.9, and by the second inspector with probability 0.7. Assume the inspectors function independently. a. If an item has a flaw, what is the probability that it will be found by both inspectors? b. If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?
General
4 months ago
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% of this population prefers the color brown. If 18 buyers are randomly selected, what is the probability that exactly a third of the buyers would prefer brown? Round your answer to four decimal places.
General
4 months ago
Find F"(x) if f(x) = cot (x)
General
4 months ago
Lexie scores an average of 527 points in a pinball game, and her points in a pinball game are normally distributed. Suppose Lexie scores 471 points in a game, and this value has a z-score of −2. What is the standard deviation? Do not include the units in your answer. For example, if you found that the standard deviation was 10 points, you would enter 10
General
4 months ago
One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air Force Base in California. Let A denote the event that the Vandenberg launch goes off on schedule, and let B represent the event that the Cape Canaveral launch goes off on schedule. If A and B are independent events with P(A) > P(B), P(A ∪ B) 5 .626, and P(A ∩ B) 5 .144, determine the values of P(A) and P(B) to three decimal places.
General
4 months ago
Factor the expression over the complex numbers. x2+36 Enter your answer in the box.the x2 is squared
General
4 months ago
If f(x, y) = esin(x + y) and D = [−π, π] × [−π, π], show the following. 1 e ≤ 1 4π2 D f(x, y) dA ≤ e The area of the region D is given by . Then since −1 ≤ sin(x + y) ≤ 1 for all (x, y) is in D, we know Correct: Your answer is correct. ≤ esin(x + y) ≤ Correct: Your answer is correct. for all (x, y) is in D. Now integrating over D we have 4π2 Incorrect: Your answer is incorrect. ≤ D f(x, y) dA ≤ , and finally dividing through by the area we obtain 1 e ≤ 1 4π2 D f(x, y) dA ≤ e.
General
4 months ago
the ticket gate at a haunted corn maze start with $80 in the cash box. they charge $8 per person write a recursive formula for the amount of money in the cash box after n peope paid
General
4 months ago
Which of the following is an extraneous solution of StartRoot negative 3 x minus 2 EndRoot = x + 2? x = –6 x = –1 x = 1 x = 6
General
4 months ago
What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0 range: range: range: range:
General
4 months ago
Which of these sets could represent the side lengths of a right triangle?Group of answer choices{4, 8, 12}{6, 8, 10}{6, 8, 15}{5, 7, 13}Flag this QuestionQuestion 31 ptsAt the electronics store, television screens are sized by the lengths of their diagonals. The television that Mrs. Mallory wants to buy has a 25 inch diagonal. The width of the screen is 15 inches. What is the height of the screen?Group of answer choices10 inches15 inches20 inches25 inchesFlag this QuestionQuestion 41 ptsDetermine the missing length. Round to the nearest foot. Unit 3 test - 1.gifGroup of answer choices115 feet467 feet472 feet504 feet
General
4 months ago
Three students, Ailin, David and Rashaad, received an innovation award for their ground breaking work on scientific discovery. They have decided to split the award as follows: Ailin receives $10,000 plus 1/5 of what then remains; David receives $16,000 plus 1/4 of what then remains, and Rashaad then receives the rest, which is $18,000. How much is the original monetary award? Which student receives the most money?
General
4 months ago
Draw a Venn diagram to help answer the following survey:A middle school teacher found the following information for her group of students:34 had seen Despicable Me29 had seen Epic26 had seen Turbo16 had seen Despicable Me and Epic12 had seen Despicable Me and Turbo10 had seen Epic and Turbo4 had seen all three of the films5 had seen none of the three filmsa)How many students had seen Turbo only? b) How many saw Epic only? c) How many had seen exactly two of the films? d) How many students were surveyed?
General
4 months ago
Can someone help me
General
4 months ago
4. A tank containing 35 gallons of water is leaking at a rate of 1/4 gallon per minute. Write an expression to determine the number of gallons left in the tank after m minutes. PLEASE Help meeee((((r
General
4 months ago
Examine the first two steps for solving this equation. 3x - 6(5x + 3) = 9x + 6 1. Distribute: 3x - 30x - 18 = 9x + 6 2. Combine like terms: -27x - 18 = 9x + 6 What could be the coefficient of x once the variable term is isolated on one side of the equation? Check all that apply. –36 –27 –24 24 27 36
General
4 months ago
4. A tank containing 35 gallons of water is leaking at a rate of gallon per minute. Write an expression to determine the number of gallons left in the tank after m minutes.
General
4 months ago
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